which one is cheaper and why A bag of 3 kg potatoes for $3.49, or a bag of 5 kg potatoes for $4.99

Answer:60 degrees

Step-by-step explanation:

60 degress

43 + 167 + 90 = 300

360 - 300 = 60

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Answer:

-277.02

Step-by-step explanation:

Given series:

We can see the series is a GP with common ratio of -3, as:

So the next term will be:

Answer:

x = 5

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )

Here b = x + 3 and h = 2x - 5 , thus

[tex]\frac{1}{2}[/tex] (x + 3)(2x - 5) = 20 ( multiply both sides by 2 )

(x + 3)(2x - 5) = 40 ← expand factors on left using FOIL

2x² + x - 15 = 40 ( subtract 40 from both sides )

2x² + x - 55 = 0 ← in standard form

(x - 5)(2x + 11) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 5 = 0 ⇒ x = 5

2x + 11 = 0 ⇒ 2x = - 11 ⇒ x = - 5.5

But x > 0 , hence x = 5

Answer:

The graph f(x+2) would make the graph go left by 2 units.

Step-by-step explanation:

Using graph transformations, adding two would make the graph go left 2 and subtracting would make it go right 2

Answer:

a. two (distinct) real solutions.

c = 3, x=¨{-1,-3}

b. two complex solutions

c = 17, x={-2+sqrt(13)i, -2-sqrt(13)i}

c. two coincident roots (i.e. one real solution)

c=4, x = {-2}, or x = {-2, -2}

Step-by-step explanation:

Given:

x^2+4x+c =0

a. two (distinct) real solutions.

c = 3

(x+1)(x+3) = 0

x=¨{-1,-3}

b. two complex solutions

c = 17

x^2+4x+17=0

does not have real factors.

x={-2+sqrt(13)i, -2-sqrt(13)i}

c. two coincident roots (i.e. one real solution)

c=4

x^2+4x+4=0 => (x+2)^2 = 0 => perfect square

x = {-2}, or x = {-2, -2}

Answer:

-3.125  <   -2.95    <    2.6     <     103.5

Step-by-step explanation:

1) [tex]5\frac{6}{15}- 2\frac{4}{5}[/tex]

=> [tex]\frac{81}{15} - \frac{14}{5}[/tex]

=> [tex]\frac{81-42}{15}[/tex]

=> [tex]\frac{39}{15}[/tex]

=> 2.6

2) -4.5 * -2.3

=> 103.5

3) [tex]\frac{5}{-1.6}[/tex]

=> -3.125

4) [tex]-\frac{33}{10} + \frac{7}{20}[/tex]

=> [tex]\frac{-66+7}{20}[/tex]

=> [tex]\frac{-59}{20}[/tex]

=> -2.95

Answer:

fourth, first, third, second,

Step-by-step explanation:

The first equals 2 9/15

The second equals 10.35

The third equals 3 1/8

The fourth equals -2 19/20

A is the answer.

First, figure out all the coordinates for the points marked red( I Did this for all except first one, which was not on the right point)

They were:

-1,1

0,2

1,4

2,8

3,16.

Then, we must do trial and error for each of the options until we find one that fits perfectly. Luckily, the first option was right!

Hope this helps

Answer:

192 - 4√291341371

Step-by-step explanation:

If your question is: 192 - √83(√643)(√106)(√824) - √0

Then you multiply all the √s together and then subtract it from 192. √0 is 0, so you don't have to worry about that.

If your question is to simplify 192 in √ form, then the answer is none of the above. To find the √ form of 192, square it: 192² = 36864. So to simplify 192 in √ form, it would be √36864.

Answer:

Side CA = 7.8

Step-by-step explanation:

Given:

Acute angled [tex]\triangle ABC[/tex].

[tex]\angle B =40^\circ[/tex]

AB = 10

BC = 12

We can use cosine rule here to find the side AC = b

Formula for cosine rule:

[tex]cos B = \dfrac{a^{2}+c^{2}-b^{2}}{2ac}[/tex]

Where  

a is the side opposite to [tex]\angle A[/tex]

b is the side opposite to [tex]\angle B[/tex]

c is the side opposite to [tex]\angle C[/tex]

[tex]cos 40 = \dfrac{12^{2}+10^{2}-b^{2}}{2\times 12\times 10}\\\Rightarrow cos 40 = \dfrac{144+100-b^{2}}{240}\\\Rightarrow 0.77 = \dfrac{244-b^{2}}{240}\\\Rightarrow 244-b^{2} = 0.77 \times 240\\\Rightarrow 244-b^{2} = 183.85\\\Rightarrow 244-183.85 = b^{2}\\\Rightarrow b^2 = 60.15\\\Rightarrow b = 7.76[/tex]

To the nearest tenth b = 7.8

Answer:

Vertex:   ( 1 ,  9 )

Y-intercept:   ( 0 ,  8 )

Step-by-step explanation:

y = - (x+2) (x-4)

y = -x² + 2x + 8

Find the vertex.

x = -b/2a

x = -2/2(-1)

x = -2/-2

x = 1

y = -(1)² + 2(1) + 8

y = -1 + 2 + 8

y = 9

Find the y-intercept.

Put x as 0.

y = -(0)² + 2(0) + 8

y = 8

Answer:

x = 8

Step-by-step explanation:

4x = 32

Divide each side by 4

4x/4 = 32/4

x = 8

The solution to the equation 4x = 32 is x = 8.

In order to evaluate and solve this equation, we would have to apply the PEMDAS rule, where mathematical operations within the parenthesis (grouping symbols) are first of all evaluated, followed by exponent, and then multiplication or division from the left side of the equation to the right.

Lastly, the mathematical operations of addition or subtraction would be performed from left to right.

Based on the information provided, we have the following mathematical equation:

4x = 32

By dividing both sides of the equation by 4, we have:

x = 32/4

x = 8

Read more on expression here: brainly.com/question/16729936

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Step-by-step explanation:Answer:a

Step-by-step explanation:horizonal line test can tell if it is a function or not.if we get more than one value of y for a value of x then it is not a function. In the option (a) we get +2and -2 for x=0

Hey there! :)

Answer:

x = -7/12.

Step-by-step explanation:

Given:

[tex]x + \frac{5}{12} = -\frac{1}{6}[/tex]

Create a common denominator for each term:

[tex]\frac{12x}{12} + \frac{5}{12} = -\frac{2}{12}[/tex]

Disregard the denominator:

12x + 5 = -2

Subtract 5 from both sides:

12x = -7

Divide both sides by 12:

x = -7/12.

Answer:

Two regular nonagons and nine congruent rectangle

Step-by-step explanation:

Two regular nonegon=on the surface and base..

Nine congruent rectangle=look at beside it will be look like 9 rectangle.. I hope it will be right.

Answer:

7,680

Step-by-step explanation:

The average number of words on a full page

=Number of columns X Number of Lines X Number of words per line

=8 X 160 X 6

=7680

The average number of words on a full page is 7,680.

Answer:

-5x/y is the answer

Step-by-step explanation:

10x/-2y

Dividing by 2

=5x/-y

=-5x/y

I hope this will help you :)

Answer:

(-5x)/y

Step-by-step explanation:

I'm assuming you meant:

  10x

---------

 -2y

                               -5x

This reduces to   ----------

                                  y

Answer:

(-3, 5), (1, 4), (-2, 3), and (0, 2).

Step-by-step explanation:

When a function is inverted, the x-values become y-values, and the y-values become x-values.

The ordered pairs for the function are (5, -3), (4, 1), (3, -2), and (2, 0).

After inversion, the ordered pairs will be (-3, 5), (1, 4), (-2, 3), and (0, 2).

Hope this helps!

Answer:

Step-by-step explanation:

4.  a) tan x=17/12=1.416

       x=54.8≈55

b)sin  b=78/132=0.59

  b=36.2≈36

cos 28=x/82

x=82*cos 28=82*0.9=73.8

Answer:

18.75%

Step-by-step explanation:

Hello,

3 students are both female and senior

the total number of students is 7+10+8+5=30

so the probability to select one female senior is 3/30=1/10=0.10

probability to select one female is 16/30=16/30

probability that the student is a senior given that it's female is

=P(female and senior)/P(female)

=1/10*30/16=3/16

hope this helps

Answer:

19%

Step-by-step explanation:

Find the number of female students

3+4+6+3 = 16

P( senior given that it is female = senior/ female

                                                    = 3/16

                                                      =.1875

                                                       18.75%

To the nearest whole percent   19%

Answer:

y = 4x + 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 4, thus

y = 4x + c ← is the partial equation

To find c substitute (1, 7) into the partial equation

7 = 4 + c ⇒ c = 7 - 4 = 3

y = 4x + 3 ← equation of line

Answer:

The equation is y = 4x+3

Step-by-step explanation:

The slope intercept form of a line is

y = mx+b where m is the slope and b is the y intercept

y = 4x + b

Substitute the x and y value into the equation

7 = 4(1)+b

7 = 4+b

Subtract 4

7-4 =b

3=b

The equation is y = 4x+3

Answer: 72 cm²

Step-by-step explanation: lets take the width as x and length as 2x as length is twice the width= perimeter of rectangle is 2*(l+b)=36cm

So, 2×(2x+x)=36cm

2×3x=36cm

6x=36cm

X=36/6:6cm( width, since width was taken as x)

Length= 2x: 2×6=12cm

So area of the rectangle is( l*b):

12×6= 72cm²

Answer:

Step-by-step explanation:

Some information is missing. The correct question is:

Theresa has two brothers, Paul and Steve, who are both the same height. Paul says he is 16 inches shorter than 1 1/2 times Theresa's height. Steve says he's 6 inches shorter than 1 1/3 times Theresa's height. If they're both right, how tall is Theresa?

Solution:

Let p represent Paul's height

Let s represent Steve's height

Let t represent Theresa's height

Since Paul and Steve are both of the same height, it means that p = s

Paul says he is 16 inches shorter than 1 1/2 times Theresa's height. It means that

p = 1.5t - 16

Steve says he's 6 inches shorter than 1 1/3 times Theresa's height. It means that

s = 4t/3 - 6

Since p = s, then

p = 4t/3 - 6

Therefore, it means that

1.5t - 16 = 4t/3 - 6

Multiplying through by 3, it becomes

4.5t - 48 = 4t - 18

4.5t - 4t = - 18 + 48

0.5t = 30

t = 30/0.5 = 60 inches

Theresa's height is 60 inches

Answer:

Part A : The expression that represents Paul’s height in inches is

3/2 t - 16

Part B : The expression that represents Steve’s height in inches is

4t/3 - 6

Answer:

28 ways

Step-by-step explanation:

After placing 1 ball in each of the seven bins, there are two balls left.

If we place both balls in a single bin, there are 7 different ways to place the balls (place both on bins 1 through 7).

If we place each of the remaining balls in a different bin, the number of ways to place the balls is:

[tex]n_2=\frac{7!}{(7-2)!2!}=7*3=21[/tex]

The total number of ways to distribute those balls is 21 + 7 = 28 ways.

Answer:

Step-by-step explanation:

Given function is,

y = x² + 3x - 1

a). Table of values for the given equation will be,

    x        -4          -3           -2          -1           0          1

    y         3          -1            -3         -3           -1          3              

b). From the graph.

   For minimum point of the graph is (-1.25, -3.25)

   Therefore, minimum value of y = -3.25

c). Value of y when x = -3.5,

   y = 0.75

d). Value of x when y = 3,

   x = -4

Answer:

First one is the true statement

Answer:

DB=BK

Step-by-step explanation:

Answer:

D; 5pi/3 units

Step-by-step explanation:

Here, we want to find the period of the function;

y = 3/2 cot (3/5x) + 5

By definition, the period of a function is the interval between two matching points in the function.

Let’s say it is the distance between two peaks, crests, etc on a function.

To find the value of the period. We shall standardize the function.

What this means is that we shall be writing the function in the standard form.

The standard form is as follows;

f(x) = A trig(Bx -C) + D

Where trig refers to the accompanying trigonometric function in question.

Comparing this standard form with our question, we can see that;

A is 3/2

B is 3/5

C is 0

D is 5

Now for cot and tan functions, we shall need to divide pi by the absolute value of B

Thus we have; pi divided by 3/5 which gives 5pi/3 units

Answer:

D. 5pi/3, period is the distance between the repetition of a function.

Step-by-step explanation:

Answer:

Just QT and UX

Step-by-step explanation:

QT and TX intersect and are not parallel.

QU and ST are not parallel or intersecting.

QT and WX are not parallel or intersecting.

QT and UX are parallel.

Answer:

1. [tex]xy = 63[/tex]

2. [tex]y = 3[/tex]

Step-by-step explanation:

Given

Variation: inverse Proportion

y = 7, x = 9

Required

- Write an equation connecting y and x

- Find y when x = 21

Given that thee variation is inversely proportional;

This implies that

[tex]y\ \alpha\ \frac{1}{x}[/tex]

Convert variation to equation

[tex]y\ = \frac{k}{x}[/tex] ----------- Equation 1

Where k is the constant of variation

Substitute 7 for y and 9 for x in equation 1

[tex]7 = \frac{k}{9}[/tex]

Multiply both sides by 9

[tex]9 * 7 = 9 * \frac{k}{9}[/tex]

[tex]63 = k[/tex]

Substitute 63 for k in equation 1

[tex]y = \frac{63}{x}[/tex]

Multiply both sides by x

[tex]x * y = \frac{63}{x} * x[/tex]

[tex]xy = 63[/tex]

Hence, the equation connecting x and y is [tex]xy = 63[/tex]

Solving for when x = 21

Substitute 21 for x in the above equation

[tex]21 * y = 63[/tex]

Divide both sides by 21

[tex]\frac{21 * y}{21} = \frac{63}{21}[/tex]

[tex]y = 3[/tex]

Answer:

The inequality shown here is

-3 ≥ x < 2

Hope this helps